While researching the use of laser pointers, you conduct a diffraction experiment withtwo parallel slits, each of width 1.0 × 10-4 m. Your result is a pattern of closely spacedbright and dark fringes shown. (Only the central portion of the pattern is shown.) Thelight source is a laser producing a wavelength of 600 nm. You find the distance betweentwo adjacent bright spots to be Ax₁ =1mm and the distance between the center of theimage to the first missing spot to be Ax2 = 6mm. How far apart are the two slits?0.00002 m0.0001 m0.0002 m0.00001 m0.0006 mAx2 = 6mmAx₁ = 1mm

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Answered: While researching the use of laser…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A diffraction grating of diameter 1cm and 400 lines/mm is illuminated by white light at normal incidence. The diffracted light from second order is then focused by a camera lens of focal length f onto an electronic image detector, with the lens and detector aligned to the diffracted light at λ = 550 nm. - If the detector width is 2 cm, calculate the maximum value of f so that the whole wavelength region 400 nm to 700 nm is observed on the detector. Also, calculate the maximum detector pixel size in order that two wavelengths near 550 nm and separated by the minimum resolvable λ are separated by at least 2 pixels on the detector.
An optician is performing Young's double-slit experiment for her clients. She directs a beam of laser light to a pair of parallel slits, which are separated by 0.120 mm from each other. The portion of this light that passes through the slits goes on to form an interference pattern upon a screen, which is 4.50 meters distant. The light is characterized by a wavelength of 575 nm. (a) What is the optical path-length difference (in um) that corresponds to the third-order bright fringe on the screen? (This is the third fringe, not counting the central bright band, that one encounters moving from the center out to one side.) 1.73*10**3 um Enter a number. (b) What path-length difference (in um) corresponds to the third dark fringe that one encounters when moving out to one side of the central bright fringe? um
A microscope with an objective lens of diameter 7.70 mm is used to view samples of light of wavelength 650 nm.What is the limiting resolutions of this microscope with this objective lens.?
A laser beam is normally incident on a single slit with width 0.580 mm. A diffraction pattern forms on a screen a distance 1.20 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.12 mm. Calculate the wavelength of the light (in nm). X Find the relationship among y, the distance from the central maximum to the first minimum, L, and 0, and then apply the equation for the Fraunhofer diffraction pattern. Solve for A. Hint: use a small-angle approximation. nm
Problem 7: Consider light falling on a single slit, of width 1.05 μm, that produces its first minimum at an angle of 33.6°.Randomized Variables θ = 33.6°w = 1.05 μm Calculate the wavelength of the light in nanometers.
A technician is performing Young's double-slit experiment for his supervisor. He directs a beam of single-wavelength light to a pair of parallel slits, which are separated by 0.132 mm from each other. The portion of this light that passes through the slits goes on to form an interference pattern upon a screen, which is 4.50 meters distant.The light is characterized by a wavelength of 590 nm. (a)What is the optical path-length difference (in µm) that corresponds to the fifth-order bright fringe on the screen? (This is the fifth fringe, not counting the central bright band, that one encounters moving from the center out to one side.) ?µm (b)What path-length difference (in µm) corresponds to the fifth dark fringe that one encounters when moving out to one side of the central bright fringe? ?µm
The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish two bright objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first diffraction minimum of the image of one source point just coincides with of further apart then the first maximum of another (see figure below). A converging lens, 31.5 mm in diameter, is used to form images of distant objects. Considering the diffraction by the lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume that the wavelength of the light from the distant objects is 516 nm. Provide your answer in millidegrees (mdeg).
Irina finds an unlabeled box of fine needles, and wants to determine how thick they are. A standard ruler will not do the job, as each needle is less than a millimeter thick. So, to find the thickness, she uses a needle to poke a hole in a piece of brown construction paper. Then, she positions a 670 nm laser pointer to shine through the hole and project a circular diffraction pattern on a wall 21.7 m away. She then uses her ruler to measure that the central bright circle is 15.7 cm in diameter. What diameter does Irina calculate for the needle? diameter: um
Young's experiment uses a laser with a wavelength λ = 632.8 nm, a slit separation of 0.5 mm and an observation distance of 40 cm. What is the separation of the stripes if the experiment is performed in (a) air (n = 1,0003), (b) a carbon dioxide environment (n = 1,0005), and (c) in water (n = 1,333)?
You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (15.8 ± 0.2) cm, x2 = (6.7 ± 0.1) cm, and x3 = (11.3 ± 0.1). What is the uncertainty of the total distance x1 + x2 + x3? Group of answer choices 0.4 cm 0.5 cm 0.2 cm 0.3 cm 0.1 cm
The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish two bright objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first diffraction minimum of the image of one source point just coincides with of further apart then the first maximum of another (see figure below). A converging lens, 34.2 mm in diameter, is used to form images of distant objects. Considering the diffraction by the lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume that the wavelength of the light from the distant objects is 431 nm. Provide your answer in millidegrees (mdeg). Answer: Choose... +
In a biprism experiment, when a convex lens was placed between the biprism and eyepiece at a distance of 30 cm from the slit, the virtual images of the slits are found to be separated by 7 mm. If the distance between the slit and biprism is 10 cm and between the biprism and eyepiece is 80 cm, find the linear magnification of the image.

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